Here is few things you might need;
Dim wb As Workbook
Dim rowCopy As Range
For Each sFilename In listOfFiles
Set wb = Workbooks.Open(sFilename)
Set rowCopy = wb.Range([rangewheretocopy])
rowCopy.Copy
shWhereYouCopyItAll.Range([targetrange]).PasteSpecial
Next
Assuming hypothetical list of files listOfFiles which you can foreach for string sFilename in order to open the Workbooks. Then set Range object rowCopy to the range where that one row is, then call your local sheet Range PasteSpecial function.
You might need to learn more and above piece of code will not do the work youre asking for. I am expecting you to put some effort into programming this aswell.